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Finding the Fourth Proportional to 150.65, 224.39 and 140.62

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Solution

The fourth proportional to 150.65, 224.39 and 140.62 is: 209.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.65 : 224.39 = 140.62 : x
  2. Step 2: Convert to fraction form
    150.65/224.39 = 140.62/x
  3. Step 3: Cross multiply
    150.65x = 224.39 × 140.62
  4. Step 4: Simplify right side
    150.65x = 31,553.72
  5. Step 5: Solve for x
    x = 31,553.72/150.65
  6. Step 6: Final answer
    x = 209.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.